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Finding the Fourth Proportional to 22,229.64, 33,320.16 and 13,462.20

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Solution

The fourth proportional to 22,229.64, 33,320.16 and 13,462.20 is: 20,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.64 : 33,320.16 = 13,462.20 : x
  2. Step 2: Convert to fraction form
    22,229.64/33,320.16 = 13,462.20/x
  3. Step 3: Cross multiply
    22,229.64x = 33,320.16 × 13,462.20
  4. Step 4: Simplify right side
    22,229.64x = 448,562,657.95
  5. Step 5: Solve for x
    x = 448,562,657.95/22,229.64
  6. Step 6: Final answer
    x = 20,178.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.